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Finding the Third Proportional to 159,225.75 and 343,356.75

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Solution

The third proportional to 159,225.75 and 343,356.75 is: 740,419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,225.75 : 343,356.75 = 343,356.75 : x
  2. Step 2: Convert to fraction form
    159,225.75/343,356.75 = 343,356.75/x
  3. Step 3: Cross multiply
    159,225.75x = 343,356.75 × 343,356.75
  4. Step 4: Simplify right side
    159,225.75x = 117,893,857,770.56
  5. Step 5: Solve for x
    x = 117,893,857,770.56/159,225.75
  6. Step 6: Final answer
    x = 740,419.55

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.